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The heights of female students at a university follows Normal distribution with a mean 66 inches...

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Statistics

The heights of female students at a university follows Normaldistribution with a mean 66 inches and a standard deviation 3inches. A researcher randomly selects 36 female students from theuniversity, surveys their heights and calculates a sample mean.

Now suppose that the population standard deviation is unknown.Also, the researcher calculate the sample standard deviation to be3 inches.

a) What is the probability that the sample mean height isbetween 65 inches and 67 inches?

b) Instead of 36, suppose the sample size is 64 only for thissub-question. Then what is the probability that the sample meanheight is between 65 inches and 67 inches?

Please answer in excel format if possible! And show thefunction! Thank youuuu

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